2 problems

Let $k$ and $\ell$ be integers greater than $1$, and let $m$ and $n$ be integers. Define … where $\operatorname{rad}(r)$ is the largest squarefree divisor of $r$. Finiteness conjec…

Define … Radical characterization conjecture. One has … The surrounding results show that $\overline{\mathcal{R}}$ is finite and constrain its elements; the conjecture remains unre…